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2026-07-31 Q1(v=0)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨     ³ʳᵈ↓ ²ⁿᵈ↑   ⁰ᵗʰ↑ ⟩ after 3×⟨←⟩

⛔Avoid
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↓         ⟩ after ⟨→⟩
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑     ¹ˢᵗ↑   ⟩ after ⟨→⟩
⟨     ³ʳᵈ↓       ⟩ after ⟨→⟩
⟨       ²ⁿᵈ↑   ⁰ᵗʰ↑ ⟩ after 2×⟨←⟩
⟨         ¹ˢᵗ↓   ⟩ after 2×⟨→⟩

#125034_v2.14

2026-07-31 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
⟨   ⁴ᵗʰc   ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b > c
{p3, p2, p0} = ? + {0,1,2}

⛔Avoid
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1

#125034_v2.14

2026-07-30 Q1(m=6,v=1)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁵ᵗʰa ⁴ᵗʰb     ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 236
⟨ ⁶ᵗʰa ⁵ᵗʰb     ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 231
⟨       ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 504

⛔Avoid
⟨ ⁶ᵗʰa         ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 23
⟨⋯ 4 ⋯ a ⋯⟩, a = 3|5|6
⟨   ⁵ᵗʰa       ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 351

#125034_v2.14

2026-07-30 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨     ³ʳᵈ↓       ⟩ after ⟨→⟩
2nd → a, 1st → b, |a-b|=4
{p5, p3, p0} = ? + {0,1,2}
⟨⋯ 1 ⋯ 3 ⋯⟩

⛔Avoid
{p4, p3, p2} = ? + {0,1,2}
3rd → a, 2nd → b, |a-b|=3

#125034_v2.14

2026-07-28 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ▧ ▧ ▧ − ▢ − ⟩, Σ▧ ≤ ▢
min ⊢3⊣ = 3
Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ2 ³ʳᵈ3 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ1 ⟩ ≤ 1

⛔Avoid
⟨⋯ 2 ⋯ a ⋯⟩, a = 1|3|5

#125034_v2.14

2026-07-26 Q1(v=0)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ Perm(0,2) ⋯⟩
⟨⋯ Perm(0,2,5) ⋯⟩
⟨⋯ Perm(0,1,3) ⋯⟩

⛔Avoid
⟨⋯ Perm(3,4) ⋯⟩
⟨⋯ Perm(0,3) ⋯⟩
⟨Perm(0,1,3) Perm(2,4,5)⟩

#125034_v2.13

2026-07-26 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p3, p2, p0} = ? + {0,2,3}
⟦1,2⟧ ∋ 0,3
3rd → 0|4|5

⛔Avoid
Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ3 ³ʳᵈ2 ²ⁿᵈ4 ¹ˢᵗ1 ⁰ᵗʰ5 ⟩ = 1
⟨⋯ 5 ⋯ ? 0 ⋯ (?−2)⟩ (?≠2)
max ⊢4⊣ = 4

#125034_v2.13

2026-07-24 Q1(v=0)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Jump(1,2) ≥ 1
Jump(2,3) = 3
Jump(0,2) ≥ 1
Jump(1,4) = 3

⛔Avoid
Jump(4,5) = 0
Jump(2,5) = 2
⟨⋯ ᵃb ⋯⟩, |a-b|=4

#125034_v2.13

2026-07-24 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
2nd → a, 0th → b, |a-b|=1
⟨⋯ 5 ⋯ ? ⋯ 0 (?−3)⟩ (?≠3)
5th → a, 0th → b, ab=3

#125034_v2.13

2026-07-23 Q1(v=0)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨? 3 ⋯ (?−3) ⋯ 5 ⋯⟩ (?≠3)
⟨⋯ 1 ⋯ a ⋯⟩, a = 2|3|4

⛔Avoid
⟨⋯ a ⋯ 2 ⋯⟩, a = 0|5
⟨⋯ 0 ⋯ a ⋯⟩, a = 4|5

#125034_v2.13

2026-07-23 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ▧ − − ▢ ▢ − ⟩, ▧ ≥ Σ▢
⟨⋯ ᵃb ⋯⟩, ab=10
⟨   ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 412

⛔Avoid
⟨⋯ 5 ⋯ 0 ⋯⟩
Jump(0,5) = 0

#125034_v2.13

2026-07-21 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩

⛔Avoid
⟨⋯ Perm(0,4) ⋯⟩
⟨⋯ a ⋯ 1 ⋯⟩, a = 0|5
{p5, p3, p2} = ? + {0,1,3}

#125034_v2.13

2026-07-21 Q1(m=6,v=0)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
⟨? ⋯ 2 ⋯ (?+1) ⋯⟩ (?≠2,1)
⟨ ⁶ᵗʰa       ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1
5th → a, 1st → b, |a-b|=1
max {p5, p4} = 3

⛔Avoid
⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, max⟦a,b⟧ = 5

#125034_v2.13

2026-07-19 Q1(v=1)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩
⟨⋯ 3 ⋯ ? 2 ⋯ (?+2)⟩ (?≠2,0)

#125034_v2.13

2026-07-19 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
min ⊢2⊣ ≥ 1
⟨⋯ ? ⋯ 4 ⋯ (?+1)⟩ (?≠4,3)
4th → a, 2nd → b, ab=6

⛔Avoid
Jump(0,5) ≥ 3

#125034_v2.13

2026-07-17 Q1(m=6,v=1)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, |a-b|=0
⟨⋯ ᵃb ⋯⟩, |a-b|=3
⟨ ▧ ▧ − − ▢ ▢ − ⟩, Σ▧ = Σ▢
⟨ ▧ − − − − ▢ ▢ ⟩, ▧ ≥ Σ▢
⟨ ▧ − ▢ ▢ − − − ⟩, ▧ ≤ Σ▢

⛔Avoid
⟨ ▧ ▧ − − ▢ ▢ ▢ ⟩, Σ▧ = Σ▢
⟨ ▧ ▧ ▧ ▢ ▢ − − ⟩, Σ▧ ≥ Σ▢
⟨ − ▧ ▢ ▢ − − − ⟩, ▧ ≥ Σ▢
⟨ − − ▧ ▧ ▢ ▢ − ⟩, Σ▧ ≥ Σ▢

#125034_v2.13

2026-07-17 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p5, p2, p0} = ? + {0,2,3}

⛔Avoid
⟨   ⁴ᵗʰ↓ ³ʳᵈ↑       ⟩ after ⟨←⟩
⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, max⟦a,b⟧ = 5
max ⊢2⊣ ≤ 4
5th|4th|3rd|2nd → 3

#125034_v2.13

2026-07-14 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|3
⟨ − − ▧ ▢ ▢ − ⟩, ▧ ≥ Σ▢
5th → a, 0th → b, a+b=1

⛔Avoid
5th → a, 1st → b, |a-b|=2

#125034_v2.13

2026-07-14 Q1(m=6)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ1 ⁴ᵗʰ2 ³ʳᵈ3 ²ⁿᵈ6 ¹ˢᵗ0 ⁰ᵗʰ5 ⟩ ≥ 3
⟨? ⋯ 1 ⋯ (?+4) ⋯⟩ (?≠1)
max {p5, p4, p1} = 5

⛔Avoid
5th|4th|3rd|2nd|1st → 4
4th → a, 2nd → b, a+b=2+5n
6th|4th|2nd → 0

#125034_v2.13

2026-07-12 Q1(v=1)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ? ⋯ 4 ⋯ (?−3)⟩ (?≠4)
⟨⋯ ? ⋯ 5 ⋯ (?−1)⟩ (?≠5)
⟨? 2 ⋯ (?+1) ⋯ 4 ⋯⟩ (?≠2,1)

⛔Avoid
⟨? ⋯ 1 (?+2) ⋯ 5 ⋯⟩ (?≠1)

#125034_v2.13